How to Find GCF of 4904/923, 8531/4211?

GCF of 4904/923, 8531/4211

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 4904/923, 8531/4211 i.e 1/3886753 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4904/923, 8531/4211.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 4904/923,8531/4211?

Given fractions are 4904/923,8531/4211

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 4904/923,8531/4211, numerators are 4904,8531

Denominators are 923,4211

The GCF of 4904,8531 is 1 .

LCM of 923,4211 is 3886753.

The greatest common factor of 4904/923,8531/4211 = [GCF of 4904,8531]/[LCM of 923,4211]= 1/3886753

Therefore, the GCF of 4904/923,8531/4211 is 1/3886753.

Greatest Common Factor of 4904,8531

To find the highest common factor of 4904,8531, we have to find the factors of both numbers and list the highest common factor.

The factors of 4904 are 1, 2, 4, 8, 613, 1226, 2452, 4904

The factors of 8531 are 1, 19, 449, 8531

The HCF of 4904,8531 is 1.

Lets's calculate GCF of 4904,8531

Greatest Common Factor (GCF) of 4904,8531 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4904,8531 By Matching Biggest Common Factor Method

Now, list down the factors of 4904

1,2,4,8,613,1226,2452,4904

Now, list down the factors of 8531

1,19,449,8531

Greatest Common Factor

We found the factors 4904,8531 . The biggest common factor number is the GCF number.
So the greatest common factor 4904,8531 is 1.

Lets's calculate LCM of 923,4211

Lowest Common Multiple of 923,4211 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3886753

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3886753

Therefore, the GCF of Fractions 4904/923,8531/4211 is 1/3886753

Least Common Multiple of 923,4211 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 923,4211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,4211) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(923,4211) x common factors =1 x 1 = 1

LCM(923,4211) = ( 923 × 4211 ) / 1

LCM(923,4211) = 3886753 / 1

LCM(923,4211) = 3886753

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FAQs on GCF of Fractions of 4904/923, 8531/4211

1. What is the HCF of 4904,8531?

The HCF of 4904,8531 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 4904/923, 8531/4211?

Answer: GCF of Numerators as per given numbers 4904/923, 8531/4211 is

GCF of Numerators i.e. for 4904,8531 is 1

LCM of denominators i.e. for 923,4211 is 3886753.

Thus, GCF of Fractions is 1/3886753.Finally, GCF of Fractions for 4904/923, 8531/4211 is 1/3886753.